Question 239736
x^3 - 3x = 0 


you can factor out the x to get:


x * (x^2-3) = 0


Either x is 0 or (x^2-3) is 0


x = 0 is one of the solutions.


x^2 - 3 = 0


add 3 to each side to get:


x^2 = 3


take square root of each side to get:


x = +/- sqrt(3)


those are your solutions.


x = 0
x = sqrt(3)
x = -sqrt(3)


a graph of your equation looks like this:


{{{graph(400,400,-10,10,-10,10,x^3-3x)}}}


+/- sqrt(3) is roughly +/- 1.7632 as shown on the graph.